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Finding the Fourth Proportional to 783.66, 1,081.06 and 468.82

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Solution

The fourth proportional to 783.66, 1,081.06 and 468.82 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.66 : 1,081.06 = 468.82 : x
  2. Step 2: Convert to fraction form
    783.66/1,081.06 = 468.82/x
  3. Step 3: Cross multiply
    783.66x = 1,081.06 × 468.82
  4. Step 4: Simplify right side
    783.66x = 506,822.55
  5. Step 5: Solve for x
    x = 506,822.55/783.66
  6. Step 6: Final answer
    x = 646.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.